If the imaginary part of $\frac{2 z+1}{i z+1}$ is $-2 ,$ then the locus of the point representing $z$ in the complex plane is

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

If the imaginary part of

\frac{2 z+1}{i z+1}

-2 ,

then the locus of the point representing

z

in the complex plane is

View answer and explanation

Correct option: B

A straight line

Option B (A straight line) is correct because after substituting z = x + iy and simplifying, the imaginary part condition leads to a linear equation in x and y.

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